GCD of 729, 120, 896, 414 Calculator

Given Input numbers are 729, 120, 896, 414

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 729, 120, 896, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 120, 896, 414 is 1.

Therefore, GCD of numbers 729, 120, 896, 414 is 1

Given Input Data is 729, 120, 896, 414

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(729, 120) = 29160

GCD(729, 120) = ( 729 x 120 ) / 29160

GCD(729, 120) = 87480 / 29160

GCD(729, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 729, 120, 896, 414 is 1

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• GCD of 954, 166, 203, 250
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1. What is the GCD of 729, 120, 896, 414?

GCD of 729, 120, 896, 414 is 1

2. Where do I get the detailed procedure to find GCD of 729, 120, 896, 414?

You can find a detailed procedure to find GCD of 729, 120, 896, 414 on our page.

3. How to find GCD of 729, 120, 896, 414 on a calculator?

You can find the GCD of 729, 120, 896, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.